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Finding the Third Proportional to 7,727.91 and 11,191.92

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Solution

The third proportional to 7,727.91 and 11,191.92 is: 16,208.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,727.91 : 11,191.92 = 11,191.92 : x
  2. Step 2: Convert to fraction form
    7,727.91/11,191.92 = 11,191.92/x
  3. Step 3: Cross multiply
    7,727.91x = 11,191.92 × 11,191.92
  4. Step 4: Simplify right side
    7,727.91x = 125,259,115.26
  5. Step 5: Solve for x
    x = 125,259,115.26/7,727.91
  6. Step 6: Final answer
    x = 16,208.67

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.